2061 = 3 x 3 x 229.
2061 is the number of pentagons that can be formed with perimeter 52 (partitions of 52 into five parts such that the sum of any four is more than the fifth) (A069906).
2061 has a representation as a sum of two squares: 2061 = 62 + 452.
The 2061st prime is a partition number (A051143).
2061 is the number of sets of distinct positive integers with mean 7 (A066571).
Source: Prime Curios!